Berechnung Von Platten Und Rippenplatten Nach Der Methode Der Endlichen Elemente
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Die Methode der finiten Elemente hat sich heute bei der numerischen Berechnung von Problemen der Elastizitats- und der Plastizitatstheorie mit digitalen Rechenautomaten all- gemein durchgesetzt. Ihre Anwendbarkeit auf praktische Ingenieurprobleme hangt in erster Linie von den zur Verfli- gung stehenden Computerprogrammen abo Das in der vorliegenden Arbeit entwickelte Programm "FEAPS" erlaubt die Berechnung von allgemein begrenzten und allgemein gestlitzten elastischen Platten mit und ohne Rippen. Das Institut flir Baustatik hofft, damit einen nlitzlichen Beitrag zur Berechnung solcher Konstruktionen geleistet zu haben. Die Arbeit wurde von Herrn G. Alberti als Doktordissertation (Referent: Prof. Dr. B. Thlirlimann, Korreferent: Dr. E. Anderheggen) verfasst. Die theoretischen Grundlagen des Verfahrens basieren zum Teil auf Arbeiten und Veroffent- lichungen von Herrn Dr. E. Anderheggen, der auch diese Arbeit wissenschaftlich leitete. Eidgenossische Technische Prof. Dr. Bruno Thlirlimann Hochschule - Zlirich Oktober 1971 -8- 1. EINLEITUNG Die Berechnung von Verformungen und Schnittkraften von dlinnen Platten mit analytischen Methoden ist nur in Spezialfallen moglich. Flir allgemeine Plattensysteme werden Naherungsmetho- den verwendet, die meistens auf einer Diskretisation aufgebaut sind. Die Methode der endlichen Elemente wurde flir die Berech- nung von beliebigen zweidimensionalen, dlinnen, linear-elasti- schen Platten und Rippenplatten verwendet. Diese wurde Ende der flinfziger Jahre mit den Pionierarbeiten von Argyris [1,30J, Clough [2,28J, Melosh [29J und Zienkiewicz [3] entwickelt.
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